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2122210112010 = 2352331103963253
BaseRepresentation
bin11110111000011101100…
…101000111001000001010
321111212210110201210011220
4132320131211013020022
5234232241242041020
64302532503502510
7306216226213512
oct36703545071012
97455713653156
102122210112010
1174902a31185a
122a336ba57a36
1312517b5b0911
1474a03546842
153a30beeb240
hex1ee1d94720a

2122210112010 has 128 divisors (see below), whose sum is σ = 5539465691136. Its totient is φ = 518768997120.

The previous prime is 2122210111951. The next prime is 2122210112017. The reversal of 2122210112010 is 102110122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122210112017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721544 + ... + 2684796.

It is an arithmetic number, because the mean of its divisors is an integer number (43277075712).

Almost surely, 22122210112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122210112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769732845568).

2122210112010 is an abundant number, since it is smaller than the sum of its proper divisors (3417255579126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122210112010 is a wasteful number, since it uses less digits than its factorization.

2122210112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963420.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122210112010 its reverse (102110122212), we get a palindrome (2224320234222).

The spelling of 2122210112010 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 103 115 138 155 186 206 230 309 310 345 465 515 618 690 713 930 1030 1426 1545 2139 2369 3090 3193 3565 4278 4738 6386 7107 7130 9579 10695 11845 14214 15965 19158 21390 23690 31930 35535 47895 71070 73439 95790 146878 220317 367195 440634 734390 963253 1101585 1926506 2203170 2889759 4816265 5779518 9632530 14448795 22154819 28897590 29860843 44309638 59721686 66464457 89582529 99215059 110774095 132928914 149304215 179165058 198430118 221548190 297645177 298608430 332322285 447912645 496075295 595290354 664644570 686799389 895825290 992150590 1373598778 1488225885 2060398167 2281946357 2976451770 3075666829 3433996945 4120796334 4563892714 6151333658 6845839071 6867993890 9227000487 10301990835 11409731785 13691678142 15378334145 18454000974 20603981670 22819463570 30756668290 34229195355 46135002435 68458390710 70740337067 92270004870 141480674134 212221011201 353701685335 424442022402 707403370670 1061105056005 2122210112010